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20042022
most citedMean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk

44 citations · 136 across the 24 of their papers we have counts for

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Showing 2017 · math.PRShow all

2 papers · 2 filters

math.PR2017★ 1 cited

A survey on the lace expansion for the nearest-neighbor models on the BCC lattice

Satoshi Handa, Yoshinori Kamijima, Akira Sakai

The aim of this survey is to explain, in a self-contained and relatively beginner-friendly manner, the lace expansion for the nearest-neighbor models of self-avoiding walk and perc…

math.PR2017★ 2 cited

Hyperscaling for oriented percolation in 1+1 space-time dimensions

Akira Sakai

Consider nearest-neighbor oriented percolation in space-time dimensions. Let be the critical exponents for the survival probability up to time , the expected numbe…